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Discusses the features that distinguish mathematics from other disciplines of the mind. This title identifies some of the mathematical inspirations of M C Escher's art. It describes compressed sensing, a mathematical field that reshapes the way people use large sets of data. It r ...
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An entertaining, interactive mathematical exercise and an exploration of mathematical reasoning, this work is of interest to the enthusiast and the novice, the scientist and the humanist, and the left-brained and the right-brained. It appeals to those enthusiasts who are charmed ...
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Those inquiring into the nature of mind have long been interested in the foundations of mathematics. A better understanding of mathematical thought should clarify the conceptual foundations of mathematics. This study probes the link between conceptions of mind and mathematics fro ...
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This title offers an introduction to the debate on the foundations of mathematics during the 1920s and presents the English reader with a selection of 25 articles central to the debate which have not been previously translated. It is a useful text for undergraduate and graduate c ...
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A demonstration of the value of both platonism and anti-platonism in the solution of mathematical problems. The author solves the important problems associated with both of the views, and demonstrates that it is inherently impossible for us to have a valid argument for or against ...
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This fascinating took at the crossroads where numbers and neurons intersect offers an intriguing tour of how the structure of the brain shapes mathematical abilities and how mathematics opens up a window on the human mind. Illustrations.
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A structuralist approach to mathematical theory in which Shapiro argues that both realist and anti-realist accounts of mathematics are problematic . He claims that mathematical theory is not a fixed domain of numbers that exist independent of one another, but a natural structure ...
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This text traces the roots of Postmodern theory to a debate on the foundations of mathematics early in the 20th century. It compares developments in mathematics with those of the opposing arts and humanities, discussing issues such as literary theory, arts, and artificial intelli ...
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McCarthy develops a theory of Radical Interpretation - the project of characterizing from scratch the language and attituteds of an agent or population - and applies the theory to the problems of indeterminacy of interperation first descrided in the writings of Quine.
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This book makes available all Godel's his publications from 1929 to 1936. The volume begins with an informative overview of Godel's life and work and features facing English translations for all German originals, extensive explanatory and historical notes, and a complete biograph ...
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